Hi jal36! If your 2021 tax refund or amount due is where you want to be when you file your 2022 tax return, and nothing else has changed that is one method to prepare a Form W-4 for your new employer.
There is a W-4 Calculator that takes you step-by-step through the worksheet to assist in completing a Form W-4,
https://turbotax.intuit.com/tax-tools/calculators/w4/
Once you complete the form, give it to your employer. Then, keep a close eye on your next few paychecks to see how the changes impacted your federal income tax withholding.
I hope this is helpful!
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